Question

Suppose a triangle has sides 3, 4, and 5. Which of the following must be true?

A.The triangle in question is not a right triangle.
B.The triangle in question is a right triangle.
C.The triangle in question may or may not be a right triangle.

Answer 1

HAS TO BE A RIGHT ANGLE

Explanation:

…..

Answer 2

Answer: B.The triangle in question is a right triangle.

Explanation:

The Converse of Pythagoras theorem says that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle.

The given sides of triangle : 3, 4, and 5.

Here, Measurement of largest side = 5

Then ,
`5^2=25`

Also,
`4^2+3^2=16+9=25`

`\Rightarrow\ 5^2=4^2+3^2`

Hence, by the converse of Pythagoras theorem, the triangle in question is a right triangle.